Generic properties of Koopman eigenfunctions for stable fixed points and periodic orbits

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Modern Koopman theory for dynamical systems

SL Brunton, M Budišić, E Kaiser, JN Kutz - arxiv preprint arxiv:2102.12086, 2021 - arxiv.org
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …
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Estimating Phase from Observed Trajectories Using the Temporal 1-Form

S Wilshin, MD Kvalheim, C Scott, S Revzen - arxiv preprint arxiv …, 2022 - arxiv.org
Oscillators are ubiquitous in nature, and usually associated with the existence of an
asymptotic phase that governs the long-term dynamics of the oscillator.% We show that …
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